I think it could work, something like...
Timmy plays for the experience. Timmys enjoy games that are more cinematic, exciting, and responsive (Zelda, God of War).
Johnny plays to express. They are the most likely to be loyal to a certain few games, or prefer games that let them show off the things they made or customize. I'm thinking stuff like Minecraft or Borderlands.
Spike plays to prove themselves. They prefer games that either competitive (Fighting, Shooters, MOBAs etc.) or are notorious for their difficulty or rewarding technical play (Super Ghouls & Ghosts, Super Meat Boy).
Not sure what types of games Melvin and Vorthos like. If anything, I see them liking a wide variety, but enjoying different aspects of the various games that pull in Timmy, Johnny, & Spike.